3.80 Integrals 7901 to 8000

  3.80.1 \(\int \frac {-20-10 x+10 x^2+(2 x^2+2 x^3) \log (4)+(4-6 x-2 x^2+6 x^3-2 x^4) \log (4) \log (2-x)+((-2 x-2 x^2) \log (4)+(4-2 x-4 x^2+2 x^3) \log (4) \log (2-x)) \log (x)+(20-10 x-2 x^2 \log (4)+(-4+10 x-8 x^2+2 x^3) \log (4) \log (2-x)+(2 x \log (4)+(-4+6 x-2 x^2) \log (4) \log (2-x)) \log (x)) \log (-5+x^2 \log (4) \log (2-x)-x \log (4) \log (2-x) \log (x))}{-10+5 x+(2 x^2-x^3) \log (4) \log (2-x)+(-2 x+x^2) \log (4) \log (2-x) \log (x)} \, dx\)
  3.80.2 \(\int (10 x+e^{2 e^{\frac {4+3 x-x^5}{x}}} (-2 x+e^{\frac {4+3 x-x^5}{x}} (8+8 x^5))) \, dx\)
  3.80.3 \(\int \frac {-1+e^{e^{e^{7+x^2}}}-\log (x)+2 e^{7+e^{7+x^2}+x^2} x^2 \log (x)+(-e^{e^{e^{7+x^2}}}+\log (x)) \log (e^{-e^{e^{7+x^2}}} (e^{e^{e^{7+x^2}}} x-x \log (x)))}{e^{e^{e^{7+x^2}}} x^2-x^2 \log (x)} \, dx\)
  3.80.4 \(\int \frac {-126+e^x (-72-36 x)+(-63-36 e^x) \log (-35 x^2-20 e^x x^2)+(-7-4 e^x) \log ^2(-35 x^2-20 e^x x^2)}{(7 x^2+4 e^x x^2) \log ^2(-35 x^2-20 e^x x^2)} \, dx\)
  3.80.5 \(\int \frac {8 x+32 x^3+e^{e^5} (-4-24 x^2)+4 (i \pi +\log (5))}{x^4+4 x^6+4 x^8+(2 x^3+4 x^5) (i \pi +\log (5))+x^2 (i \pi +\log (5))^2+e^{2 e^5} (x^2+4 x^4+4 x^6+(2 x+4 x^3) (i \pi +\log (5))+(i \pi +\log (5))^2)+e^{e^5} (-2 x^3-8 x^5-8 x^7+(-4 x^2-8 x^4) (i \pi +\log (5))-2 x (i \pi +\log (5))^2)} \, dx\)
  3.80.6 \(\int \frac {-12 x^3-3 x^7+12 x^3 \log (x^2)}{(256+128 x^4+16 x^8) \log ^3(x^2)} \, dx\)
  3.80.7 \(\int \frac {54+90 x+45 x^2+7 x^3+(9 x^2+2 x^3) \log (x)+(27+18 x+3 x^2) \log (x^2)}{27+18 x+3 x^2} \, dx\)
  3.80.8 \(\int \frac {4 x+x^2-4 (i \pi +\log (3))+(4 x+x^2) \log (2) (i \pi +\log (3))-x (i \pi +\log (3)) \log (x)+(i \pi -x+\log (3)-x \log (2) (i \pi +\log (3))) \log (3 x)+(-x-x \log (2) (i \pi +\log (3))+(i \pi +\log (3)) \log (x)) \log (x+x \log (2) (i \pi +\log (3))-(i \pi +\log (3)) \log (x))}{-x^2-x^2 \log (2) (i \pi +\log (3))+x (i \pi +\log (3)) \log (x)} \, dx\)
  3.80.9 \(\int \frac {-1-4 x^2-2 x^2 \log (4)}{x-2 e^7 x^2-2 x^3-2 x^3 \log (4)+2 x^2 \log (6 e^{-x})} \, dx\)
  3.80.10 \(\int \frac {(20+x^2-x^3) \log (6)+(20-x^2+2 x^3) \log (6) \log (x)+e^{\frac {e^x}{\log (6)}} (-20 \log (6)+(20 e^x x-20 \log (6)) \log (x))}{5 x^2 \log (6) \log ^2(x)} \, dx\)
  3.80.11 \(\int \frac {-2-11 x+18 x^2+75 x^3+32 x^4+3 x^5+(-9+45 x^2+18 x^3+x^4) \log (x)+(-x+9 x^3+6 x^4+x^5+(-1+9 x^2+6 x^3+x^4) \log (x)) \log (\frac {x^6+2 x^5 \log (x)+x^4 \log ^2(x)}{1-18 x^2-12 x^3+79 x^4+108 x^5+54 x^6+12 x^7+x^8})}{-x+9 x^3+6 x^4+x^5+(-1+9 x^2+6 x^3+x^4) \log (x)} \, dx\)
  3.80.12 \(\int \frac {-50+45 x+19 e x-12 x^2+x^3}{25 x-10 x^2+x^3} \, dx\)
  3.80.13 \(\int \frac {1250 x^4-200 x^6+6 x^8+(1000 x^3-40 x^5) \log (x) \log (12 x)+(500 x^3-20 x^5+(500 x^3-60 x^5) \log (x)) \log ^2(12 x)+(600 x^2-8 x^4) \log ^2(x) \log ^3(12 x)+((300 x^2-4 x^4) \log (x)-4 x^4 \log ^2(x)) \log ^4(12 x)+120 x \log ^3(x) \log ^5(12 x)+(60 x \log ^2(x)-20 x \log ^3(x)) \log ^6(12 x)+8 \log ^4(x) \log ^7(12 x)+(4 \log ^3(x)-2 \log ^4(x)) \log ^8(12 x)}{x^3} \, dx\)
  3.80.14 \(\int \frac {2 x^3-4 x^2 \log (24)+2 x \log ^2(24)+\frac {1}{81} e^{20} x^4 (-3 x+4 \log (24))}{x^3-2 x^2 \log (24)+x \log ^2(24)} \, dx\)
  3.80.15 \(\int \frac {-x+e^2 x+x^2-16 x^6+(2-2 e^2-4 x+192 x^5) \log (x-e^2 x-x^2+16 x^6)}{-x+e^2 x+x^2-16 x^6} \, dx\)
  3.80.16 \(\int \frac {2-80 x-4 x^2-5 x^3+5 x \log (x)}{-80 x-5 x^3+5 x \log (x)} \, dx\)
  3.80.17 \(\int \frac {270+90 e^{13/2}-90 x^2}{9+e^{13}+12 x-4 e^{39/4} x+10 x^2+4 x^3+x^4+e^{13/2} (6+4 x+6 x^2)+e^{13/4} (-12 x-8 x^2-4 x^3)} \, dx\)
  3.80.18 \(\int \frac {-48-160 x-144 x^2-80 x^3-264 x^4-320 x^5-220 x^6-120 x^7-36 x^8+e^{2 x} (-32 x^2-96 x^3-88 x^4-48 x^5-36 x^6)+e^x (32+128 x+80 x^2+208 x^3+368 x^4+272 x^5+168 x^6+72 x^7)}{36 x^2+120 x^3+148 x^4+20 x^5-120 x^6-100 x^7+x^8+30 x^9+9 x^{10}+e^{2 x} (16 x^2+48 x^3+20 x^4-48 x^5-32 x^6+12 x^7+9 x^8)+e^x (-48 x^2-152 x^3-128 x^4+68 x^5+160 x^6+40 x^7-42 x^8-18 x^9)} \, dx\)
  3.80.19 \(\int \frac {e^{4+2 x} (-18 x+12 x^2-2 x^3)+e^{2+x} (6 x^2+2 x^3-2 x^4)}{4 x^2+e^{4+2 x} (9-6 x+x^2)+e^{2+x} (-12 x+4 x^2)} \, dx\)
  3.80.20 \(\int \frac {20 x-4 x^4+4 x^5+(-10+2 x^3) \log (2)+(60 x^2-30 x \log (2)) \log (2 x-\log (2))+(60 x^3-30 x^2 \log (2)) \log ^2(2 x-\log (2))+(20 x^4-10 x^3 \log (2)) \log ^3(2 x-\log (2))}{-2 x^3+x^2 \log (2)+(-6 x^4+3 x^3 \log (2)) \log (2 x-\log (2))+(-6 x^5+3 x^4 \log (2)) \log ^2(2 x-\log (2))+(-2 x^6+x^5 \log (2)) \log ^3(2 x-\log (2))} \, dx\)
  3.80.21 \(\int \frac {10 x+7 x^2+x^3+e^4 (2 x+x^2)+(4-6 x+x^3) \log (\frac {-2+x}{e^2})+(-2 x-x^2) \log (x)+(2 x+x^2) \log (4+2 x)}{-4 x+x^3} \, dx\)
  3.80.22 \(\int \frac {9-6 x-8 x^2+2 x^3+e (6 x-x^2)}{9 x-6 x^2-2 x^3+x^4+e (3 x^2-x^3)+(45-30 x+5 x^2) \log (2)} \, dx\)
  3.80.23 \(\int \frac {-3 x^2+e^2 (-x^2+3 x^4)+e^x (-30+30 x+e^2 (-2 x^3-x^4))}{x^2} \, dx\)
  3.80.24 \(\int \frac {5 x^2+(-50-270 x-100 x^2) \log (\frac {1}{4} (1+5 x))+(-x-5 x^2) \log (\frac {1}{4} (1+5 x)) \log (\log (\frac {1}{4} (1+5 x)))}{(x^3+5 x^4) \log (\frac {1}{4} (1+5 x))} \, dx\)
  3.80.25 \(\int \frac {2+e^{16-x} (1+x)+\log (x)-\log (x^2)}{1+e^{32-2 x}+e^{16-x} (2-2 x)-2 x+x^2+(2+2 e^{16-x}-2 x) \log (x)+\log ^2(x)+(-2-2 e^{16-x}+2 x-2 \log (x)) \log (x^2)+\log ^2(x^2)} \, dx\)
  3.80.26 \(\int e^{-1/x} (-4 x^3-20 x^4) \, dx\)
  3.80.27 \(\int e^{-e^x} (5 e^x+e^{e^x} (8 x^3+10 x^4)) \, dx\)
  3.80.28 \(\int \frac {e^{-\frac {2}{-82+3 x}} (26896-1944 x+36 x^2)}{6724-492 x+9 x^2} \, dx\)
  3.80.29 \(\int \frac {-e^{2 x}-4096 x^5-65536 x^8+e^x (-4 x^2-512 x^4)+2 e^{2 x} (2 e^{2 x} x^2+1024 e^x x^6+131072 x^{10})}{1024 x^6+65536 x^9+262144 x^{10}+e^{2 x} (x+4 x^2)+e^x (4 x^2+512 x^5+2048 x^6)+2 e^{2 x} (e^{2 x} x^2+512 e^x x^6+65536 x^{10})} \, dx\)
  3.80.30 \(\int \frac {e^x (-48-42 x^2-45 x^3+6 x^4)+e^x (-6-3 x^2-6 x^3) \log (2+x^2+2 x^3)}{2+x^2+2 x^3} \, dx\)
  3.80.31 \(\int e^{-x} (e^{2 e^{-x} x} (2-2 x)-6 e^x \log (x)-3 e^x \log ^2(x)) \, dx\)
  3.80.32 \(\int \frac {1}{2} (e^{3 x} (5+15 x)+e^{2 x} (-25-40 x+10 x^2)) \, dx\)
  3.80.33 \(\int \frac {-3+x-2 x \log (x)+x \log (x) \log (\log (x))}{x \log (x)} \, dx\)
  3.80.34 \(\int \frac {x+3 x^2+3 x^3+x^4+e^5 (-32-96 x-96 x^2-32 x^3)+e^{12+4 x^2+2 x^4} (256 x+768 x^2+1024 x^3+1024 x^4+768 x^5+256 x^6)+(e^{10} (-256-256 x)+e^5 (-8-8 x)) \log (3)-64 e^{10} \log ^2(3)+e^{1+2 x^2+x^4} (e^{10} (-1024 x-3072 x^2-4096 x^3-4096 x^4-3072 x^5-1024 x^6)+e^5 (8+24 x+56 x^2+104 x^3+128 x^4+128 x^5+96 x^6+32 x^7)+e^{10} (64-192 x-512 x^2-512 x^3-512 x^4-256 x^5) \log (3))}{32+96 x+96 x^2+32 x^3} \, dx\)
  3.80.35 \(\int \frac {e^2 (2 x+2 x^2)+e (52 x+4 x^2) \log (x)+(50 x+2 x^2) \log ^2(x)+(e (96+48 x)+e^2 (2 x+x^2)+e (4 x+2 x^2) \log (x)+(2 x+x^2) \log ^2(x)) \log (2+x)}{e^2 (2 x+x^2)+e (4 x+2 x^2) \log (x)+(2 x+x^2) \log ^2(x)} \, dx\)
  3.80.36 \(\int \frac {e^x (-1+x) \log (4)+(-10+10 e^8 x^2-40 e^4 x^3+30 x^4) \log (4)}{2 x^2} \, dx\)
  3.80.37 \(\int \frac {(20+6 x) \log (5 x^2+x^3)+(-15-3 x) \log ^2(5 x^2+x^3)}{5 x^4+x^5} \, dx\)
  3.80.38 \(\int \frac {450 e^{4 x}+e^x x^6+e^{5 x} (5625-450 e x+9 e^2 x^2)+e^{2 x} (12 x^3-12 x^4)+e^{3 x} (-150 x^3+6 e x^4)}{x^6+e^{4 x} (5625-450 e x+9 e^2 x^2)+e^{2 x} (-150 x^3+6 e x^4)} \, dx\)
  3.80.39 \(\int \frac {e^{\frac {5 e^4+x \log (6-3 x)}{x}} (e^4 (10-5 x)+x^2)}{-2 x^2+x^3} \, dx\)
  3.80.40 \(\int \frac {e^{\frac {1}{225} (x^2+6 x \log (x)+9 \log ^2(x))} (4950+132 x+50 x^2+2 x^3+(396+150 x+6 x^2) \log (x))}{108900+9900 x+225 x^2} \, dx\)
  3.80.41 \(\int \frac {-96768+5 x^2+7040 \log (x)-128 \log ^2(x)}{x^3} \, dx\)
  3.80.42 \(\int \frac {-1024 e^{2 x} x^2+e^x (192+192 x)}{9+e^x (192 x+96 x^2)+e^{2 x} (1024 x^2+1024 x^3+256 x^4)} \, dx\)
  3.80.43 \(\int \frac {40 x-5 x^3+x^4+e (100 x^2-40 x^3+4 x^4)+(-20 x+4 x^2+e (400-160 x+16 x^2)) \log (\frac {x^2+e (-40 x+8 x^2)+e^2 (400-160 x+16 x^2)}{400-160 x+16 x^2})}{-60 x^3+12 x^4+e (1200 x^2-480 x^3+48 x^4)} \, dx\)
  3.80.44 \(\int \frac {-256+192 x-48 x^2+4 x^3+e^{2 x} (-10+2 x) \log (16)+(256-192 x+48 x^2-4 x^3) \log (16)}{-256 x+192 x^2-48 x^3+4 x^4+e^{2 x} (-4+x) \log (16)+(256 x-192 x^2+48 x^3-4 x^4) \log (16)} \, dx\)
  3.80.45 \(\int \frac {e^x (192 x^2-23 x^4+9 x^5)}{16384-16384 x+8704 x^2-2304 x^3+324 x^4} \, dx\)
  3.80.46 \(\int \frac {12-3 e^{25+x} x^2+e^{25} (-12-33 x^2)}{e^{25} x^2} \, dx\)
  3.80.47 \(\int \frac {2+56 x^2+6 x^3+(-4+6 x^3) \log (x)}{x^3} \, dx\)
  3.80.48 \(\int e^{x^2-6 x^3+9 x^4+2 x^5-6 x^6+x^8+(2 x^3-6 x^4+2 x^6) \log (2)+x^4 \log ^2(2)} (2 x-18 x^2+36 x^3+10 x^4-36 x^5+8 x^7+(6 x^2-24 x^3+12 x^5) \log (2)+4 x^3 \log ^2(2)) \, dx\)
  3.80.49 \(\int \frac {-645248-249920 x+38032 x^2+848 x^3+4 x^4+(1290496-147680 x-4512 x^2-24 x^3) \log (x^2)+(4544 x+32 x^2) \log ^2(x^2)}{6505390336 x+13194031104 x^2+10126522112 x^3+3531451392 x^4+501133920 x^5+12434688 x^6+125552 x^7+576 x^8+x^9+(-161312 x-163584 x^2-42608 x^3-576 x^4-2 x^5) \log (5)+x \log ^2(5)+(-52043122688 x-79530687488 x^2-41246833152 x^3-7628194560 x^4-194974080 x^5-1990464 x^6-9184 x^7-16 x^8+(645248 x+331712 x^2+4576 x^3+16 x^4) \log (5)) \log (x^2)+(156129368064 x+160527378432 x^2+43476810240 x^3+1146178560 x^4+11832960 x^5+54912 x^6+96 x^7+(-645248 x-9088 x^2-32 x^3) \log (5)) \log ^2(x^2)+(-208172490752 x-109950259200 x^2-2993950720 x^3-31262720 x^4-145920 x^5-256 x^6) \log ^3(x^2)+(104086245376 x+2932006912 x^2+30971904 x^3+145408 x^4+256 x^5) \log ^4(x^2)} \, dx\)
  3.80.50 \(\int \frac {e^{-\frac {6}{e^{e^{5 x}}-x^4-2 x^3 \log (5)-x^2 \log ^2(5)+(-2 x^3-2 x^2 \log (5)) \log (x)-x^2 \log ^2(x)}} (-30 e^{e^{5 x}+5 x}+12 x^2+24 x^3+(12 x+36 x^2) \log (5)+12 x \log ^2(5)+(12 x+36 x^2+24 x \log (5)) \log (x)+12 x \log ^2(x))}{e^{2 e^{5 x}}+x^8+4 x^7 \log (5)+6 x^6 \log ^2(5)+4 x^5 \log ^3(5)+x^4 \log ^4(5)+(4 x^7+12 x^6 \log (5)+12 x^5 \log ^2(5)+4 x^4 \log ^3(5)) \log (x)+(6 x^6+12 x^5 \log (5)+6 x^4 \log ^2(5)) \log ^2(x)+(4 x^5+4 x^4 \log (5)) \log ^3(x)+x^4 \log ^4(x)+e^{e^{5 x}} (-2 x^4-4 x^3 \log (5)-2 x^2 \log ^2(5)+(-4 x^3-4 x^2 \log (5)) \log (x)-2 x^2 \log ^2(x))} \, dx\)
  3.80.51 \(\int \frac {4+2 x^3-4 x^6+e^5 (-4 x^2+2 x^5)}{x^5} \, dx\)
  3.80.52 \(\int \frac {2 x+4 e x+2 e^2 x-15 x^2-25 x^4-12 x^6}{1+2 x^2+x^4} \, dx\)
  3.80.53 \(\int \frac {(-4-8 e) e^{-1+e^{\frac {4+3 \log (\log (3+x+2 e x))}{\log (\log (3+x+2 e x))}}+\frac {4+3 \log (\log (3+x+2 e x))}{\log (\log (3+x+2 e x))}}}{(3+x+2 e x) \log (3+x+2 e x) \log ^2(\log (3+x+2 e x))} \, dx\)
  3.80.54 \(\int (231-4 x) \, dx\)
  3.80.55 \(\int \frac {35-16 x+x^2+(-5+2 x) \log (\frac {1}{100} e^{-x} x^3)}{(20 x-4 x^2+(-5 x+x^2) \log (\frac {1}{100} e^{-x} x^3)) \log (\frac {5 x-x^2}{-4+\log (\frac {1}{100} e^{-x} x^3)})} \, dx\)
  3.80.56 \(\int \frac {e^{27} (-250 e^3-750 e^5-750 e^7-250 e^9)}{-216+e^9 (e (-1080+540 x)+e^3 (-1080+540 x))+e^{18} (e^4 (-3600+3600 x-900 x^2)+e^2 (-1800+1800 x-450 x^2)+e^6 (-1800+1800 x-450 x^2))+e^{27} (e^3 (-1000+1500 x-750 x^2+125 x^3)+e^9 (-1000+1500 x-750 x^2+125 x^3)+e^5 (-3000+4500 x-2250 x^2+375 x^3)+e^7 (-3000+4500 x-2250 x^2+375 x^3))} \, dx\)
  3.80.57 \(\int \frac {-3-2 e^3-2 x+\log (2)}{e^3} \, dx\)
  3.80.58 \(\int \frac {-1-3 x-2 \log (x)+(-x-\log (x)) \log (x^3+x^2 \log (x))+(-x-\log (x)) \log (x^3+x^2 \log (x)) \log (\frac {1}{4 x \log (x^3+x^2 \log (x))})}{(x^3+x^2 \log (x)) \log (x^3+x^2 \log (x))} \, dx\)
  3.80.59 \(\int \frac {24 e^{-2 x+2 x^2}+e^{-x+x^2} x+e^{-x+x^2} (-24+x^2-2 x^3) \log (x)+6 \log ^2(x)}{36 e^{-2 x+2 x^2} x^2-36 e^{-x+x^2} x^2 \log (x)+9 x^2 \log ^2(x)} \, dx\)
  3.80.60 \(\int -\frac {1}{e^{10}+2 e^5 x+x^2} \, dx\)
  3.80.61 \(\int \frac {150+355 x+359 x^2-40 x^3-375 x^4-125 x^5+(25 x^2+80 x^3+114 x^4+80 x^5+25 x^6) \log (x)}{-150 x-605 x^2-884 x^3-605 x^4-150 x^5+(25 x^2+80 x^3+114 x^4+80 x^5+25 x^6) \log (x)} \, dx\)
  3.80.62 \(\int \frac {e^{8-2 x} (1+x^2)+e^{4-x} (-2-x) \log (4)+\log ^2(4)}{e^{8-2 x} x^2-2 e^{4-x} x \log (4)+\log ^2(4)} \, dx\)
  3.80.63 \(\int e^{-5+x} (-2+e^5 (-1+x)) \, dx\)
  3.80.64 \(\int \frac {1}{5} (84+4 e^{3/16}) \, dx\)
  3.80.65 \(\int \frac {e^2 x-x^2+(x^2+2 x^3+e^4 (1+2 x)+e^2 (-2 x-4 x^2)) \log (x)+(2 e^2 x-x^2) \log (x) \log (\log (x))}{(e^4-2 e^2 x+x^2) \log (x)} \, dx\)
  3.80.66 \(\int \frac {e^{\frac {2+8 x+2 x^2+(x+2 x^2+x^3) \log (\frac {1}{x})}{2+2 x+(x+x^2) \log (\frac {1}{x})}} (12+12 x+8 x^2+(4 x+4 x^2+4 x^3) \log (\frac {1}{x})+(x^2+2 x^3+x^4) \log ^2(\frac {1}{x}))}{4+8 x+4 x^2+(4 x+8 x^2+4 x^3) \log (\frac {1}{x})+(x^2+2 x^3+x^4) \log ^2(\frac {1}{x})} \, dx\)
  3.80.67 \(\int \frac {-1-3 x-6 x^2-7 x^3-6 x^4-3 x^5-x^6+e^{\frac {2+4 x+6 x^2+5 x^3+2 x^4}{1+2 x+3 x^2+2 x^3+x^4}} (3 x^2+x^3-x^4)}{1+3 x+6 x^2+7 x^3+6 x^4+3 x^5+x^6} \, dx\)
  3.80.68 \(\int \frac {e^x (6+6 x+3 x^2)}{32+32 x+8 x^2+e^x (6 x+3 x^2)} \, dx\)
  3.80.69 \(\int \frac {-320+480 x^2+320 x^3+60 x^4+e^{\frac {4}{5} (40+3 x)} (-20+48 x)+e^{\frac {3}{5} (40+3 x)} (160-288 x-144 x^2)+e^{\frac {2}{5} (40+3 x)} (-480+576 x+696 x^2+144 x^3)+e^{\frac {1}{5} (40+3 x)} (640-384 x-1056 x^2-448 x^3-48 x^4)+(160 x+10 e^{\frac {4}{5} (40+3 x)} x+320 x^2+240 x^3+80 x^4+10 x^5+e^{\frac {3}{5} (40+3 x)} (-80 x-40 x^2)+e^{\frac {2}{5} (40+3 x)} (240 x+240 x^2+60 x^3)+e^{\frac {1}{5} (40+3 x)} (-320 x-480 x^2-240 x^3-40 x^4)) \log (x)+(160 x^2+12 e^{\frac {4}{5} (40+3 x)} x^2+240 x^3+120 x^4+20 x^5+e^{\frac {3}{5} (40+3 x)} (-92 x^2-36 x^3)+e^{\frac {2}{5} (40+3 x)} (264 x^2+204 x^3+36 x^4)+e^{\frac {1}{5} (40+3 x)} (-336 x^2-384 x^3-132 x^4-12 x^5)) \log ^2(x)}{5 x^2} \, dx\)
  3.80.70 \(\int \frac {e^{\frac {-15-5 x+e^x x+e^{-3+x} (3+x)}{-5 x+e^{-3+x} x}} (-75+30 e^{-3+x}-3 e^{-6+2 x}-5 e^x x^2)}{25 x^2-10 e^{-3+x} x^2+e^{-6+2 x} x^2} \, dx\)
  3.80.71 \(\int \frac {e^{4 x} (3-4 x)+4 e^{3 x} x+25 x^2+25 x^4+(-12 e^{2 x} x^2+e^{3 x} (-8 x+12 x^2)) \log (x)+(12 e^x x^3+e^{2 x} (6 x^2-12 x^3)) \log ^2(x)+(-4 x^4+4 e^x x^4) \log ^3(x)-x^4 \log ^4(x)}{25 x^4} \, dx\)
  3.80.72 \(\int \frac {-800-200 x^2+e^{25+10 x+x^2} (-200-2000 x+1050 x^2+800 x^3+100 x^4)}{16-24 x+x^2+6 x^3+x^4} \, dx\)
  3.80.73 \(\int \frac {1}{20} e^{\frac {1}{20} (-4 e^{e^{5+x^2}} x^2-5 \log (x))} (15+e^{e^{5+x^2}} (-8 x^2-8 e^{5+x^2} x^4)) \, dx\)
  3.80.74 \(\int \frac {e^4 x+e^4 (175-251 x+90 x^2) \log (\frac {175-126 x}{-105+75 x})+(875-1255 x+450 x^2) \log ^2(\frac {175-126 x}{-105+75 x})}{(175-251 x+90 x^2) \log ^2(\frac {175-126 x}{-105+75 x})} \, dx\)
  3.80.75 \(\int (4 x^7-9 x^8+(-12 x^5+28 x^6) \log (3)+(12 x^3-30 x^4) \log ^2(3)+(-4 x+12 x^2) \log ^3(3)-\log ^4(3)+e^x (-8 x^7-x^8+(24 x^5+4 x^6) \log (3)+(-24 x^3-6 x^4) \log ^2(3)+(8 x+4 x^2) \log ^3(3)-\log ^4(3))) \, dx\)
  3.80.76 \(\int \frac {-60-8 x^2+(-75+40 x^2+4 x^3) \log (5)}{10 x^2 \log (5)} \, dx\)
  3.80.77 \(\int \frac {-8+1260 x-2 x^2+(4-630 x+x^2) \log (4 x)+(630 x-2 x^2+(-630 x+2 x^2) \log (4 x)) \log (\frac {x}{-1+\log (4 x)})}{-2 x+2 x \log (4 x)} \, dx\)
  3.80.78 \(\int \frac {e^{-3-x} (2 e^{-3+e} x+4 \log (x)-2 x \log ^2(x))}{5 x} \, dx\)
  3.80.79 \(\int \frac {1}{5} e^{-25+10 x-x^2+\frac {1}{5} e^{-25+10 x-x^2} (80 x^2+e^{25-10 x+x^2} (8+4 x))} (4 e^{25-10 x+x^2}+160 x+800 x^2-160 x^3) \, dx\)
  3.80.80 \(\int \frac {(2-2 e^3-2 \log (x)) \log (\frac {2 e^7+x+2 e^4 \log (x)}{e^3+\log (x)})}{2 e^{10}+e^3 x+(4 e^7+x) \log (x)+2 e^4 \log ^2(x)} \, dx\)
  3.80.81 \(\int \frac {-5124800+1310720 e^{15} x^3-131072 e^{20} x^4+e^5 (19200+8199680 x)+e^{10} (-7680 x-4917504 x^2)}{23011209+15350400 x+2560000 x^2+e^5 (-36840960 x-24568320 x^2-4096000 x^3)+e^{10} (22113792 x^2+14744064 x^3+2457600 x^4)+e^{15} (-5898240 x^3-3932160 x^4-655360 x^5)+e^{20} (589824 x^4+393216 x^5+65536 x^6)} \, dx\)
  3.80.82 \(\int e^{4096 e^{8 x^2} x^2} (1+e^{8 x^2} (8192 x^2+65536 x^4)) \, dx\)
  3.80.83 \(\int \frac {7+x \log (x)}{x+2 x \log (x)+x \log ^2(x)} \, dx\)
  3.80.84 \(\int \frac {e^{\frac {-87-26 x-2 x^2-x^3+(29-x+x^2) \log (3)+e^x (-3-x+\log (3))+x \log (x)}{-3-x+\log (3)}} (-12+11 x+11 x^2+2 x^3+(7-10 x-4 x^2) \log (3)+(-1+2 x) \log ^2(3)+e^x (9+6 x+x^2+(-6-2 x) \log (3)+\log ^2(3))+(-3+\log (3)) \log (x))}{9+6 x+x^2+(-6-2 x) \log (3)+\log ^2(3)} \, dx\)
  3.80.85 \(\int \frac {-1+2 x}{x} \, dx\)
  3.80.86 \(\int \frac {1}{80} (240+8 x+4 x^2+(-8 x^2-4 x^3) \log (2)+(2 x^3+x^4) \log ^2(2)+(16 x+12 x^2+(-24 x^2-16 x^3) \log (2)+(8 x^3+5 x^4) \log ^2(2)) \log (x)) \, dx\)
  3.80.87 \(\int \frac {-1-2 x^2+e^x (-x+2 x^3)}{-x+2 x^3} \, dx\)
  3.80.88 \(\int \frac {-1-x+e^{3 x} (-3 x-3 x^2)+e^x (1+2 x+x^2+x^3)+(1+3 x+2 x^2+x^3+e^{2 x} (-3 x-3 x^2)) \log (x)+(e^x (x+x^2)+(x+x^2) \log (x)) \log (\frac {x+x^2}{e^x+\log (x)})}{e^{3 x} (-x-x^2)+e^x (x^2+x^3)+(x^2+x^3+e^{2 x} (-x-x^2)) \log (x)+(e^x (x+x^2)+(x+x^2) \log (x)) \log (\frac {x+x^2}{e^x+\log (x)})} \, dx\)
  3.80.89 \(\int \frac {-15-5 e^x+(-960-30 x+110592 x^4+3456 x^5+27 x^6+e^{2 x} (12288 x^4+384 x^5+3 x^6)+e^x (-320-330 x-5 x^2+73728 x^4+2304 x^5+18 x^6)) \log (x)+(-15+3456 x^4+54 x^5+e^{2 x} (384 x^4+6 x^5)+e^x (-5-5 x+2304 x^4+36 x^5)) \log (x) \log (\log (x))+(27 x^4+18 e^x x^4+3 e^{2 x} x^4) \log (x) \log ^2(\log (x))}{(36864 x^2+1152 x^3+9 x^4+e^{2 x} (4096 x^2+128 x^3+x^4)+e^x (24576 x^2+768 x^3+6 x^4)) \log (x)+(1152 x^2+18 x^3+e^{2 x} (128 x^2+2 x^3)+e^x (768 x^2+12 x^3)) \log (x) \log (\log (x))+(9 x^2+6 e^x x^2+e^{2 x} x^2) \log (x) \log ^2(\log (x))} \, dx\)
  3.80.90 \(\int \frac {-2 x+(-1-2 x) \log (3)}{x} \, dx\)
  3.80.91 \(\int \frac {-9 x-456 x^2+840 x^4+(-54 x+420 x^2+1680 x^3) \log (x)+(-27+840 x^2) \log ^2(x)}{x^4+2 x^3 \log (x)+x^2 \log ^2(x)} \, dx\)
  3.80.92 \(\int \frac {4^{\frac {8}{x+(12 x+4 x^2) \log (4)}} e^{3 x} (3 x^2+(-8+72 x^2+24 x^3) \log (4)+(-96-64 x+432 x^2+288 x^3+48 x^4) \log ^2(4))}{x^2+(24 x^2+8 x^3) \log (4)+(144 x^2+96 x^3+16 x^4) \log ^2(4)} \, dx\)
  3.80.93 \(\int \frac {x+x^2+2 x^3+e^{15-3 x} (-1-3 x+x^2-3 x^3)}{x^2} \, dx\)
  3.80.94 \(\int \frac {1}{2} e^{-x-\frac {1}{2} e^{-x} (-675 x+27 x^2)} (4 e^x x+675 x^2-729 x^3+27 x^4) \, dx\)
  3.80.95 \(\int \frac {4-2 e^{50} x-e^{50} \log (48)}{4 e^{50}} \, dx\)
  3.80.96 \(\int e^x (1+x) \, dx\)
  3.80.97 \(\int \frac {x^2-48 x^3+e^{\frac {2 (5+x+x^3)}{x}} (10-4 x^3)+e^{\frac {5+x+x^3}{x}} (50 x-10 x^2-20 x^4)}{e^{\frac {2 (5+x+x^3)}{x}} x^2-x^3+10 e^{\frac {5+x+x^3}{x}} x^3+24 x^4} \, dx\)
  3.80.98 \(\int \frac {-e^{5 x}-5 e^{4 x} x-10 e^{3 x} x^2-10 e^{2 x} x^3-5 e^x x^4-x^5+e^{\frac {1-4 x+2 x^2+8 x^3-5 x^4-9 x^5+2 x^6+4 x^7+x^8+e^{4 x} (1+3 x+6 x^2+4 x^3+x^4)+e^{3 x} (-4-8 x+20 x^3+16 x^4+4 x^5)+e^{2 x} (6-24 x^2-18 x^3+24 x^4+24 x^5+6 x^6)+e^x (-4+8 x+12 x^2-20 x^3-24 x^4+12 x^5+16 x^6+4 x^7)}{e^{4 x}+4 e^{3 x} x+6 e^{2 x} x^2+4 e^x x^3+x^4}} (-4 x^2+12 x^3-4 x^4-8 x^5+x^6-9 x^7+4 x^8+12 x^9+4 x^{10}+e^{5 x} (x+3 x^2+12 x^3+12 x^4+4 x^5)+e^{4 x} (-3 x^2+3 x^3+60 x^4+64 x^5+20 x^6)+e^{3 x} (4 x^2-26 x^3-30 x^4+112 x^5+132 x^6+40 x^7)+e^{2 x} (-4 x^2+12 x^3-38 x^4-66 x^5+96 x^6+132 x^7+40 x^8)+e^x (8 x^2-8 x^3-15 x^5-45 x^6+36 x^7+64 x^8+20 x^9))}{e^{5 x} x+5 e^{4 x} x^2+10 e^{3 x} x^3+10 e^{2 x} x^4+5 e^x x^5+x^6} \, dx\)
  3.80.99 \(\int \frac {-5+11 x+3 x^2+(1-3 x) \log (\frac {e^x x^2}{-2+6 x})+(3-9 x+(-1+3 x) \log (\frac {e^x x^2}{-2+6 x})) \log (-3+\log (\frac {e^x x^2}{-2+6 x}))}{3-9 x+(-1+3 x) \log (\frac {e^x x^2}{-2+6 x})} \, dx\)
  3.80.100 \(\int \frac {-3+(3-3 x) \log (\frac {3}{x})}{x^3 \log (\frac {3}{x})-2 x^2 \log (\frac {3}{x}) \log (9 x \log (\frac {3}{x}))+x \log (\frac {3}{x}) \log ^2(9 x \log (\frac {3}{x}))} \, dx\)